Question

which shows the expression below in simplified form?
$(3.5 \times 10^{10}) \div (7 \times 10^{5})$
\\(\bigcirc\\) a. $5 \times 10^{5}$
\\(\bigcirc\\) b. $5 \times 10^{4}$
\\(\bigcirc\\) c. $5 \times 10^{3}$
\\(\bigcirc\\) d. $-3.5 \times 10^{4}$

Explanation:

Step1: Split into coefficient and power terms

$\frac{3.5 \times 10^{10}}{7 \times 10^{5}} = \frac{3.5}{7} \times \frac{10^{10}}{10^{5}}$

Step2: Simplify the coefficient

$\frac{3.5}{7} = 0.5$

Step3: Simplify the power term

$\frac{10^{10}}{10^{5}} = 10^{10-5} = 10^{5}$

Step4: Combine and adjust to standard form

$0.5 \times 10^{5} = 5 \times 10^{4}$

Answer:

B. $5 \times 10^{4}$